Question

A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 6 pounds of jelly beans the total cost is $35. For 3 pounds of trail mix and 2 pounds of jelly beans the total cost is $15. Find the cost for each pound of trail mix and each pound of jelly beAns

Answer 1

The cost for each pound of trail mix and each pound of jelly is given below.

Step-by-step explanation:

Let t = cost/pound of trail mix

Let j = cost/pound of jelly beans

5t + 6j = 35

3t + 2j = 15  =  > 2j = 15 - 3t

5t + 3(15 - 3t) = 35

5t + 45 - 9t = 35

- 4t + 45 = 35

- 4t  =  - 10

4t = 10

t = 2.5

3(2.5) + 2j = 15

7.5 + 2j = 15

2j = 7.5

j = 3.75